Eventos Anais de eventos
COBEM 2019
25th International Congress of Mechanical Engineering
Topology Optimization of Geometrically Nonlinear Structures Considering an Energy Interpolation Scheme
Submission Author:
André Xavier Leitão , RJ , Brazil
Co-Authors:
André Xavier Leitão, Anderson Pereira
Presenter: André Xavier Leitão
doi://10.26678/ABCM.COBEM2019.COB2019-1580
Abstract
Topology optimization of geometrically nonlinear structures based on the finite element method suffers from numerical instabilities. This is caused by excessive distortions in low-density regions within the design domain which can jeopardize or even result in non-convergence of the optimization process. In this article, an interpolation scheme is studied to alleviate this convergence issue. The optimization is solved by the Method of Moving Asymptotes, that requires information on the gradients. These derivatives are computed employing the adjoint method. The Newton-Raphson approach is applied to determine the equilibrium points at each step of the solution during the optimization routine. Comparisons between two different nonlinear solution techniques are exhibited in the scope of the topology optimization method. Applicability and efficiency of this interpolation scheme are demonstrated by means of benchmark structures, which plays a crucial role in the geometric nonlinear analysis, allowing the optimization routine to converge and to obtain the optimal material arrangement.
Keywords
Topology optimization, Finite Elements, Low-Density Elements, Interpolation Scheme, geometric nonlinearity
